HELP!! Identify the transformation from ABC to A'B'C'. 1. Reflection over the y-axis
2. 90 degree rotation
3. 270 degree rotation
4. Reflection over the x-axis

Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.

Choice 1.

Step-by-step explanation:

Reflection over the x-axis

Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).

The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)

Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.

Choice 1.

21/58.

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2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.